What is the Greatest Common Factor of 19080 and 19096?

Greatest common factor (GCF) of 19080 and 19096 is 8.

GCF(19080,19096) = 8

We will now calculate the prime factors of 19080 and 19096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19080 and 19096.

How to find the GCF of 19080 and 19096?

We will first find the prime factorization of 19080 and 19096. After we will calculate the factors of 19080 and 19096 and find the biggest common factor number .

Step-1: Prime Factorization of 19080

Prime factors of 19080 are 2, 3, 5, 53. Prime factorization of 19080 in exponential form is:

19080 = 2³ × 3² × 5¹ × 53¹

Step-2: Prime Factorization of 19096

Prime factors of 19096 are 2, 7, 11, 31. Prime factorization of 19096 in exponential form is:

19096 = 2³ × 7¹ × 11¹ × 31¹

Step-3: Factors of 19080

List of positive integer factors of 19080 that divides 19080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 53, 60, 72, 90, 106, 120, 159, 180, 212, 265, 318, 360, 424, 477, 530, 636, 795, 954, 1060, 1272, 1590, 1908, 2120, 2385, 3180, 3816, 4770, 6360, 9540

Step-4: Factors of 19096

List of positive integer factors of 19096 that divides 19080 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 31, 44, 56, 62, 77, 88, 124, 154, 217, 248, 308, 341, 434, 616, 682, 868, 1364, 1736, 2387, 2728, 4774, 9548

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19080 and 19096. The biggest common factor number is the GCF number.
So the greatest common factor 19080 and 19096 is 8.

Also check out the Least Common Multiple of 19080 and 19096